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(D) The Poisson’s ratio $(\sigma)$ for a homogeneous isotropic material is theoretically constrained by the requirement that the Young’s modulus $(Y)$

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$0.8$

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(D) The Poisson’s ratio $(\sigma)$ for a homogeneous isotropic material is theoretically constrained by the requirement that the Young’s modulus $(Y)$, shear modulus $(G)$, and bulk modulus $(K)$ must all be positive values. This leads to the theoretical range for Poisson’s ratio being $-1.0 Most common materials have a Poisson’s ratio between $0$ and $0.5$. Since $0.8$ lies outside this valid range, it cannot be the value of Poisson’s ratio for a homogeneous isotropic material.

For a homogeneous isotropic material, which one of the following cannot be the value of Poisson’s ratio?

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